en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (3-2sin(x)^5)

Solution

\frac{d}{d x} ((3 - 2 sin (x))^{5})

Solution

- 10 cos (x) (3 - 2 sin (x))^{4}

Solution steps

\frac{d}{d x} ((3 - 2 sin (x))^{5})

Apply the chain rule:

5 (3 - 2 sin (x))^{4} \frac{d}{d x} (3 - 2 sin (x))

= 5 (3 - 2 sin (x))^{4} \frac{d}{d x} (3 - 2 sin (x))

\frac{d}{d x} (3 - 2 sin (x)) = - 2 cos (x)

= 5 (3 - 2 sin (x))^{4} (- 2 cos (x))

Simplify

= - 10 cos (x) (3 - 2 sin (x))^{4}

Popular Examples

limit as x approaches-infinity of x,2

x \to - \infty lim (x, 2)

integral of 1/(cos(2*x))

\int \frac{1}{cos ( 2 \cdot x )} d x

(\partial)/(\partial x)(3x^4y^2)

\frac{\partial}{\partial x} (3 x^{4} y^{2})

integral of (3x)/(4-x)

\int \frac{3 x}{4 - x} d x

integral of x^9cos(x^5)

\int x^{9} cos (x^{5}) d x

Frequently Asked Questions (FAQ)

What is the derivative of (3-2sin(x)^5) ?
The derivative of (3-2sin(x)^5) is -10cos(x)(3-2sin(x))^4
What is the first derivative of (3-2sin(x)^5) ?
The first derivative of (3-2sin(x)^5) is -10cos(x)(3-2sin(x))^4